10225758072 has 32 divisors (see below), whose sum is σ = 25666260480. Its totient is φ = 3395004000.

The previous prime is 10225758041. The next prime is 10225758079. The reversal of 10225758072 is 27085752201.

It is a super-2 number, since 2×10225758072² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10225758072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225758079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842728 + ... + 854775.

It is an arithmetic number, because the mean of its divisors is an integer number (802070640).

Almost surely, 2^10225758072 is an apocalyptic number.

10225758072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10225758072 is an abundant number, since it is smaller than the sum of its proper divisors (15440502408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10225758072 is a wasteful number, since it uses less digits than its factorization.

10225758072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697763 (or 1697759 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The spelling of 10225758072 in words is "ten billion, two hundred twenty-five million, seven hundred fifty-eight thousand, seventy-two".